A200502 Decimal expansion of least x>0 satisfying 2*x^2-3*x+4=tan(x).

1, 2, 8, 9, 1, 6, 8, 1, 2, 5, 3, 8, 3, 7, 6, 0, 4, 2, 4, 9, 4, 2, 1, 5, 1, 4, 6, 1, 2, 0, 8, 9, 2, 5, 2, 2, 4, 6, 2, 9, 6, 0, 6, 6, 0, 9, 7, 2, 0, 5, 0, 6, 8, 8, 1, 4, 8, 4, 0, 6, 8, 8, 5, 1, 4, 1, 3, 3, 1, 7, 6, 6, 9, 5, 7, 8, 1, 7, 7, 7, 3, 4, 4, 5, 6, 9, 9, 0, 5, 9, 6, 1, 3, 5, 5, 0, 8, 0, 4

Offset

1,2

Comments

See A200338 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.28916812538376042494215146120892522462960660...

Mathematica

a = 2; b = -3; c = 4;
f[x_] := a*x^2 + b*x + c; g[x_] := Tan[x]
Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r]    (* A200502 *)

Crossrefs

Cf. A200338.

Sequence in context: A155748 A152748 A158933 * A316138 A011062 A155922

Adjacent sequences: A200499 A200500 A200501 * A200503 A200504 A200505

Keyword

nonn,cons

Author

Clark Kimberling, Nov 19 2011

Status

approved